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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 468 · 40 questions
TalentJR

How to solve it (Spot the topic first): Read the question and name the topic: HCF/LCM, fractions, calendar, ratio, percentage, interest, average, equation or number theory. Use that lesson’s method; write small working on rough paper. Look at the options: rule out answers that are too big, too small or the wrong kind. Check your answer by working backwards when you can.

NameDateTime takenScore ___ / 40
  1. 1.Every pair follows the same rule: 3 : 9, 7 : 49, 8 : 64. What is 9 : ? (a) 27 (b) 81 (c) 15 (d) 79
  2. 2.9.99 + 1.5 = ? (a) 11.39 (b) 11.59 (c) 11.49 (d) 10.14
  3. 3.What is the average of 51, 24, 32 and 37? (a) 36 (b) 35 (c) 37 (d) 48
  4. 4.A teacher has 10 pencils and 15 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 30 (c) 5 (d) 1
  5. 5.Which is the smallest: 0.057, 0.119, 0.29, 0.2? (a) 0.057 (b) 0.119 (c) 0.29 (d) 0.2
  6. 6.What is the average of 60, 79, 59 and 94? (a) 75 (b) 72 (c) 74 (d) 73
  7. 7.What is the remainder when 213 is divided by 4? (a) 2 (b) 3 (c) 0 (d) 1
  8. 8.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 59 (b) 57 (c) 12 (d) 67
  9. 9.Which of these numbers is divisible by 11? (a) 1697 (b) 1710 (c) 1705 (d) 1721
  10. 10.Which is the greatest: 0.032, 0.5, 0.52, 0.464? (a) 0.032 (b) 0.5 (c) 0.52 (d) 0.464
  11. 11.If 7x − 35 = 7, what is x? (a) 42 (b) 6 (c) 5 (d) 7
  12. 12.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
  13. 13.What is the simple interest on ₹7000 at 4% per year for 3 years? (a) ₹7840 (b) ₹280 (c) ₹1120 (d) ₹840
  14. 14.If 8x + 23 = 63, what is x? (a) 4 (b) 5 (c) 6 (d) 40
  15. 15.Which fraction is greater: 3/11 or 9/10? (a) 9/10 (b) They are equal (c) 3/11
  16. 16.What is 1/5 of 25? (a) 20 (b) 10 (c) 5 (d) 6
  17. 17.If 8 May is a Monday, what day of the week is 17 May? (a) Wednesday (b) Thursday (c) Friday (d) Tuesday
  18. 18.What is the remainder when 193 is divided by 3? (a) 1 (b) 0 (c) 2
  19. 19.Which is the smallest: 0.42, 0.312, 0.031, 0.4? (a) 0.42 (b) 0.312 (c) 0.031 (d) 0.4
  20. 20.6/7 + 2/3 = ? (a) 11/7 (b) 4/5 (c) 32/21 (d) 31/21
  21. 21.If 8x + 2 = 4x + 26, what is x? (a) 7 (b) 8 (c) 6 (d) 2
  22. 22.What is the average of 69, 61, 63 and 91? (a) 72 (b) 73 (c) 70 (d) 71
  23. 23.In how many years will ₹8500 earn ₹2040 simple interest at 12% per year? (a) 3 years (b) 1 year (c) 2 years (d) 4 years
  24. 24.What is the smallest number of sweets that can be shared equally among 12 children or among 42 children, with none left over? (a) 504 (b) 84 (c) 54 (d) 168
  25. 25.A teacher has 18 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 54 (b) 18 (c) 3 (d) 9
  26. 26.₹10000 is invested at 8% per year simple interest. What is the amount after 4 years? (a) ₹13200 (b) ₹14000 (c) ₹10800 (d) ₹3200
  27. 27.What is 10% of 80? (a) 16 (b) 72 (c) 80 (d) 8
  28. 28.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 24 (b) 13 (c) 12 (d) 10
  29. 29.If 21 April is a Saturday, what day of the week is 16 May? (a) Tuesday (b) Thursday (c) Friday (d) Wednesday
  30. 30.7 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 1 day (b) 21 days (c) 22 days (d) 11 days
  31. 31.If x/3 + 14 = 18, what is x? (a) 12 (b) 96 (c) 40 (d) 4
  32. 32.3/7 + 2/3 = ? (a) 23/21 (b) 22/21 (c) 8/7 (d) 1/2
  33. 33.If 2x − 3 = 21, what is x? (a) 24 (b) 9 (c) 12 (d) 13
  34. 34.What is the units digit of 7^50? (a) 9 (b) 1 (c) 7 (d) 3
  35. 35.9.25 + 1.2 = ? (a) 10.55 (b) 10.35 (c) 9.37 (d) 10.45
  36. 36.Two ribbons are 8 cm and 12 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 24 cm (b) 4 cm (c) 8 cm (d) 2 cm
  37. 37.If 4x + 13 = 25, what is x? (a) 2 (b) 4 (c) 3 (d) 12
  38. 38.A teacher has 40 pencils and 64 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 24 (c) 8 (d) 40
  39. 39.Which of these numbers is divisible by 11? (a) 2295 (b) 2287 (c) 2288 (d) 2304
  40. 40.If 6 December is a Monday, what day of the week is 14 December? (a) Thursday (b) Monday (c) Wednesday (d) Tuesday

Answer key

  1. 81
  2. 11.49
  3. 36
  4. 5
  5. 0.057
  6. 73
  7. 1
  8. 67
  9. 1705
  10. 0.52
  11. 6
  12. 25 sq cm
  13. ₹840
  14. 5
  15. 9/10
  16. 5
  17. Wednesday
  18. 1
  19. 0.031
  20. 32/21
  21. 6
  22. 71
  23. 2 years
  24. 84
  25. 9
  26. ₹13200
  27. 8
  28. 12
  29. Wednesday
  30. 21 days
  31. 12
  32. 23/21
  33. 12
  34. 9
  35. 10.45
  36. 4 cm
  37. 3
  38. 8
  39. 2288
  40. Tuesday

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